Least Common Multiple of 724, 6584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 724, 6584 i.e. 1191704 smallest integer divisible by all numbers.

Least common multiple (LCM) of 724, 6584 is 1191704.

LCM(724, 6584) = 1191704

LCM of 724, 6584

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 724,6584

Least Common Multiple (LCM) of 724,6584 is 1191704

2 724, 6584
2 362, 3292
181, 1646

∴ So the LCM of the given numbers is 2 x 2 x 181 x 1646 = 1191704

Least Common Multiple of 724,6584 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 724,6584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,6584) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(724,6584) x common factors =4 x 1 = 4

LCM(724,6584) = ( 724 × 6584 ) / 4

LCM(724,6584) = 4766816 / 4

LCM(724,6584) = 1191704

∴ Least Common Multiple of 724,6584 is 1191704

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 724, 6584

1. What is the LCM of 724, 6584?

Answer: LCM of 724, 6584 is 1191704.

2. What are the Factors of 1191704?

Answer: Factors of 1191704 are . There are integers that are factors of 1191704

3. How to Find the LCM of 724, 6584 ?

Least Common Multiple of 724, 6584.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(724, 6584) = 2 x 2 x 2 x 181 x 823 = 1191704.